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Maths year 11

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Reply 1560
Original post by RDKGames
The acute angle at B.




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Reply 1562
Original post by RDKGames
Correct.


Argh. The question says 3sf.
So the final answer is 6.40?

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Original post by z_o_e
Argh. The question says 3sf.
So the final answer is 6.40?

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Yep.
Reply 1564
Original post by RDKGames
Yep.


Here how's the 3sf part


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Original post by z_o_e
Here how's the 3sf part


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Yep :smile:
Reply 1566
Can someone help me on this please


How do I work it out? Thank you

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Original post by z_o_e
Can someone help me on this please


How do I work it out? Thank you

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The labourer charges £12.00 per hour of work. So how much would he charge for half an hour of work? And hence, how much would he charge for one and a half hours of work?

Then the grand total is the sum of all the final prices.
Reply 1568
Original post by K-Man_PhysCheM
The labourer charges £12.00 per hour of work. So how much would he charge for half an hour of work? And hence, how much would he charge for one and a half hours of work?

Then the grand total is the sum of all the final prices.


18

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That's right! Now calculate the total price to be paid.
Reply 1570
Original post by RDKGames
Yep :smile:


Heya can you explain this part please

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Original post by z_o_e
Heya can you explain this part please

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You need to find how much more rice India exported than Thailand. So basically, find the difference between the two.

9.9×1072.05×1079.9 \times1 0^7 - 2.05 \times 10^7

This is the same as (9.92.05)×107=7.85×107 (9.9-2.05) \times 10^7 = 7.85 \times 10^7
Reply 1572
Original post by K-Man_PhysCheM
You need to find how much more rice India exported than Thailand. So basically, find the difference between the two.

9.9×1072.05×1079.9 \times1 0^7 - 2.05 \times 10^7

This is the same as (9.92.05)×107=7.85×107 (9.9-2.05) \times 10^7 = 7.85 \times 10^7


What about this?


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I need to see the first part of the question.

You need to find the multiplier for a 10% percentage decrease, and then find how many times that multiplier must have been applied to give a value of less than £35 000.

For a slightly different question, let's say that in January a dress cost $150, and the price decreased by 5% each month.
The multiplier for a 5% decrease is 15100=10.05=0.951 - \frac{5}{100} = 1-0.05 = 0.95

After one month in this case, the new price of the dress is:
£150×0.95=£142.50£150 \times 0.95 = £142.50 (February price)

After a second month, the new price would be:
£142.50×0.95=£135.38£142.50 \times 0.95 = £135.38 (March price)

Say I need to find what month the price will be under $120

£135.38×0.95=£128.61£135.38 \times 0.95 = £128.61 (April)
£128.61×0.95=£122.18£128.61 \times 0.95 = £122.18 (May)
£122.18×0.95=£116.07£122.18 \times 0.95 = £116.07 (June)

So the price of the dress is under $120 from June.


You can apply the same to your question, but remember, first work out the correct multiplier for the 10% decrease in your question.
(edited 7 years ago)
Reply 1575
Original post by K-Man_PhysCheM
I need to see the first part of the question.

You need to find the multiplier for a 10% percentage decrease, and then find how many times that multiplier must have been applied to give a value of less than £35 000.

For a slightly different question, let's say that in January a dress cost $150, and the price decreased by 5% each month.
The multiplier for a 5% decrease is 15100=10.05=0.951 - \frac{5}{100} = 1-0.05 = 0.95

After one month in this case, the new price of the dress is:
£150×0.95=£142.50£150 \times 0.95 = £142.50 (February price)

After a second month, the new price would be:
£142.50×0.95=£135.38£142.50 \times 0.95 = £135.38 (March price)

Say I need to find what month the price will be under $120

£135.38×0.95=£128.61£135.38 \times 0.95 = £128.61 (April)
£128.61×0.95=£122.18£128.61 \times 0.95 = £122.18 (May)
£122.18×0.95=£116.07£122.18 \times 0.95 = £116.07 (June)

So the price of the dress is under $120 from June.


You can apply the same to your question, but remember, first work out the correct multiplier for the 10% decrease in your question.


This is the first part :/ i dont get percentages.


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Original post by z_o_e
This is the first part :/ i dont get percentages.


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If the goods are worth £50 000 in January, but they decrease by 10% in February, it means that the new price is its old price minus 10% of its old price.

Or in other words, its new price is (100% - 10% =) 90% of its old price.

90 percent means 90 per 100, or 90/100ths of the old price, or 0.9 times the old price.

Hence the new price is:
50000×90100=50000×0.9= 50000 \times \dfrac{90}{100} = 50000 \times 0.9 =

You need to calculate the numerical value of that.

We call the '0.9' the multiplier, because it is the decimal by which you multiply the original price to get the new price.


For part (b), find how many times you need to multiply by the multiplier to get a price below £35000. (You can also solve part (b) by using algebra).
Reply 1577
Original post by K-Man_PhysCheM
If the goods are worth £50 000 in January, but they decrease by 10% in February, it means that the new price is its old price minus 10% of its old price.

Or in other words, its new price is (100% - 10% =) 90% of its old price.

90 percent means 90 per 100, or 90/100ths of the old price, or 0.9 times the old price.

Hence the new price is:
50000×90100=50000×0.9= 50000 \times \dfrac{90}{100} = 50000 \times 0.9 =

You need to calculate the numerical value of that.

We call the '0.9' the multiplier, because it is the decimal by which you multiply the original price to get the new price.


For part (b), find how many times you need to multiply by the multiplier to get a price below £35000. (You can also solve part (b) by using algebra).


Got this


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Part (a) is correct.

You haven't answered the question in part (b). It asks you to show that May is the month where the price of the goods is under £35000, from the initial price of £50000 in January.

You multiply the starting price by the multiplier, then multiply that result by the multiplier again, then repeat until you get a number below £35000. Find how many times you had to do that, and hence deduce the month.
Remember, you are already told that the answer is May, you just have to "show that" the price goes below £35000 in May.
Reply 1579
Original post by K-Man_PhysCheM
Part (a) is correct.

You haven't answered the question in part (b). It asks you to show that May is the month where the price of the goods is under £35000, from the initial price of £50000 in January.

You multiply the starting price by the multiplier, then multiply that result by the multiplier again, then repeat until you get a number below £35000. Find how many times you had to do that, and hence deduce the month.
Remember, you are already told that the answer is May, you just have to "show that" the price goes below £35000 in May.




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